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    What is the value of 100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . . . . 12² – 11² ?
    Question

    What is the value of
    100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . . . . 12² – 11² ?

    A.

    5050

    B.

    4985

    C.

    4995

    D.

    4950

    Correct option is C

    Given:
    100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . + 12² – 11² 
    Formula Used: 
    Sum of natural number = n×(n+1)2\frac{n \times ( n +1)}{2} 
    Solution:
    Series ; 100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . + 12² – 11² .

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